How to Find GCF of 2246/240, 5326/9140?

GCF of 2246/240, 5326/9140

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 2246/240, 5326/9140 i.e 2/109680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2246/240, 5326/9140.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 2246/240,5326/9140?

Given fractions are 2246/240,5326/9140

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 2246/240,5326/9140, numerators are 2246,5326

Denominators are 240,9140

The GCF of 2246,5326 is 2 .

LCM of 240,9140 is 109680.

The greatest common factor of 2246/240,5326/9140 = [GCF of 2246,5326]/[LCM of 240,9140]= 2/109680

Therefore, the GCF of 2246/240,5326/9140 is 2/109680.

Greatest Common Factor of 2246,5326

To find the highest common factor of 2246,5326, we have to find the factors of both numbers and list the highest common factor.

The factors of 2246 are 1, 2, 1123, 2246

The factors of 5326 are 1, 2, 2663, 5326

The HCF of 2246,5326 is 2.

Lets's calculate GCF of 2246,5326

Greatest Common Factor (GCF) of 2246,5326 By Common Division

2	2246, 5326
	1123, 2663

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2246,5326 By Matching Biggest Common Factor Method

Now, list down the factors of 2246

1,2,1123,2246

Now, list down the factors of 5326

1,2,2663,5326

Greatest Common Factor

We found the factors 2246,5326 . The biggest common factor number is the GCF number.
So the greatest common factor 2246,5326 is 2.

Lets's calculate LCM of 240,9140

Lowest Common Multiple of 240,9140 using Common Division

2	240, 9140
2	120, 4570
5	60, 2285
	12, 457

∴ So the LCM of the given numbers is 2 x 2 x 5 x 12 x 457 = 109680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/109680

Therefore, the GCF of Fractions 2246/240,5326/9140 is 2/109680

Least Common Multiple of 240,9140 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 240,9140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,9140) = 20

common factors(in case of two or more numbers have common factors) = 1

GCF(240,9140) x common factors =20 x 1 = 20

LCM(240,9140) = ( 240 × 9140 ) / 20

LCM(240,9140) = 2193600 / 20

LCM(240,9140) = 109680

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FAQs on GCF of Fractions of 2246/240, 5326/9140

1. What is the HCF of 2246,5326?

The HCF of 2246,5326 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 2246/240, 5326/9140?

Answer: GCF of Numerators as per given numbers 2246/240, 5326/9140 is

GCF of Numerators i.e. for 2246,5326 is 2

LCM of denominators i.e. for 240,9140 is 109680.

Thus, GCF of Fractions is 2/109680.Finally, GCF of Fractions for 2246/240, 5326/9140 is 2/109680.